TROVA, Audrey; HURÉ, J.-M.; HERSANT, F.

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TROVA, Audrey
FORMATION STELLAIRE 2011

HURÉ, J.-M.
FORMATION STELLAIRE 2011

HERSANT, F.
FORMATION STELLAIRE 2011

Langue

Communication dans un congrès

Ce document a été publié dans

SF2A-2011: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics Eds.: G. Alecian, K. Belkacem, R. Samadi and D. Valls-Gabaud, pp.685-688, 2011, SF2A-2011: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics Eds.: G. Alecian, K. Belkacem, R. Samadi and D. Valls-Gabaud, pp.685-688, 2011, 2011, Paris. 2011-12p. 685-688

Résumé en anglais

The determination of the gravitational potential inside celestial bodies (rotating stars, discs, planets, asteroids) is a common challenge in numerical Astrophysics. Under axial symmetry, the potential is classically found from a two-dimensional integral over the body's meridional cross-section. Because it involves an improper integral, high accuracy is generally difficult to reach. We have discovered that, for homogeneous bodies, the singular Green kernel can be converted into a regular kernel by direct analytical integration. This new kernel, easily managed with standard techniques, opens interesting horizons, not only for numerical calculus but also to generate approximations, in particular for geometrically thin discs and rings.< Réduire

Mots clés en anglais

Gravitation

Methods: analytical

Celestial mechanics

Origine

Importé de hal

Unités de recherche

Laboratoire d'Astrophysique de Bordeaux (LAB) - UMR 5804